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Theoretical Mechanics : Theoretical Physics 1
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ISBN: 9783642111389 9783642111419 9783642111372 9783642265860 9783662601310 Year: 2010 Publisher: Berlin, Heidelberg Imprint: Springer

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After an introduction to basic concepts of mechanics more advanced topics build the major part of this book. Interspersed is a discussion of selected problems of motion. This is followed by a concise treatment of the Lagrangian and the Hamiltonian formulation of mechanics, as well as a brief excursion on chaotic motion. The last chapter deals with applications of the Lagrangian formulation to specific systems (coupled oscillators, rotating coordinate systems, rigid bodies). The level of this textbook is advanced undergraduate. The authors combine teaching experience of more than 40 years in all fields of Theoretical Physics and related mathematical disciplines and thorough knowledge in creating advanced eLearning content. The text is accompanied by an extensive collection of online material, in which the possibilities of the electronic medium are fully exploited, e.g. in the form of applets, 2D- and 3D-animations. - A collection of 74 problems with detailed step-by-step guidance towards the solutions. - A collection of comments and additional mathematical details in support of the main text. - A complete presentation of all the mathematical tools needed.


Book
Poly-, Quasi- and Rank-One Convexity in Applied Mechanics
Authors: --- ---
ISBN: 9783709101742 9783709101735 9783709101759 9783709111048 Year: 2010 Publisher: Vienna Springer Vienna

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Generalized convexity conditions play a major role in many modern mechanical applications. They serve as the basis for existence proofs and allow for the design of advanced algorithms. Moreover, understanding these convexity conditions helps in deriving reliable mechanical models. The book summarizes the well established as well as the newest results in the field of poly-, quasi and rank-one convexity. Special emphasis is put on the construction of anisotropic polyconvex energy functions with applications to biomechanics and thin shells. In addition, phase transitions with interfacial energy and the relaxation of nematic elastomers are discussed.


Book
Mechanics and Model-Based Control of Smart Materials and Structures
Authors: --- --- --- ---
ISBN: 9783211994849 9783211994856 9783211994832 9783709119167 Year: 2010 Publisher: Vienna Springer Vienna

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Mechanics and model-based control are both rapidly expanding scientific fields and fundamental disciplines of mechatronics, sharing demanding mathematical and system-theoretic formulations and methods. The papers in this volume deal with smart materials, which allow the design and implementation of new types of actuator/sensor fields and networks. Main topics treated are fundamental studies on laminated, composite and functionally graded materials, thermal and piezoelectric actuation, active and passive damping, as well as vibrations and waves in smart structures. The book is based on the 1st Japanese-Austrian Workshop which took place in Linz in Fall 2008.


Digital
Poly-, Quasi- and Rank-One Convexity in Applied Mechanics
Authors: ---
ISBN: 9783709101742 9783709101735 9783709101759 9783709111048 Year: 2010 Publisher: Vienna Springer

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Abstract

Generalized convexity conditions play a major role in many modern mechanical applications. They serve as the basis for existence proofs and allow for the design of advanced algorithms. Moreover, understanding these convexity conditions helps in deriving reliable mechanical models. The book summarizes the well established as well as the newest results in the field of poly-, quasi and rank-one convexity. Special emphasis is put on the construction of anisotropic polyconvex energy functions with applications to biomechanics and thin shells. In addition, phase transitions with interfacial energy and the relaxation of nematic elastomers are discussed.


Digital
Mechanics and Model-Based Control of Smart Materials and Structures
Authors: --- --- ---
ISBN: 9783211994849 9783211994856 9783211994832 9783709119167 Year: 2010 Publisher: Vienna Springer

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Abstract

Mechanics and model-based control are both rapidly expanding scientific fields and fundamental disciplines of mechatronics, sharing demanding mathematical and system-theoretic formulations and methods. The papers in this volume deal with smart materials, which allow the design and implementation of new types of actuator/sensor fields and networks. Main topics treated are fundamental studies on laminated, composite and functionally graded materials, thermal and piezoelectric actuation, active and passive damping, as well as vibrations and waves in smart structures. The book is based on the 1st Japanese-Austrian Workshop which took place in Linz in Fall 2008.


Book
Inventor 2011 : computer ondersteund ontwerpen
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Year: 2010 Publisher: Nijmegen TEC/CADCollege

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Book
Engineering mechanics : statics
Authors: --- --- ---
Year: 2010 Publisher: New York, N.Y. McGraw-Hill

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Book
Asymptotic Methods in Fluid Mechanics: Survey and Recent Advances
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ISBN: 9783709104088 9783709116906 9783709104071 Year: 2010 Publisher: Vienna Springer Vienna

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A survey of asymptotic methods in fluid mechanics and applications is given including high Reynolds number flows (interacting boundary layers, marginal separation, turbulence asymptotics) and low Reynolds number flows as an example of hybrid methods, waves as an example of exponential asymptotics and multiple scales methods in meteorology.


Book
Anisotropic Elastic Plates
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ISBN: 9781441959157 9781441959300 9781441959140 9781489985323 Year: 2010 Publisher: Boston MA Springer US Imprint Springer

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Anisotropic Elastic Plates find wide applications as structural elements in modern technology. The plates are considered to be subjected to not only inplane loads but also transverse loads. Plane problems, plate bending problems as well as stretching-bending coupling problems are all treated in this book. In addition to the introduction of the theory of anisotropic elasticity that includes two complex variable methods - Lekhnitiskii formalism and Stroh formalism- several important subjects are also discussed such as wedges, interfaces, cracks, holes, inclusions, contact problems, piezoelectric materials, thermal stresses and boundary element analysis. Anisotropic Elastic Plates also collects over one hundred problems and solutions. This book is a useful resource for engineers and researchers in composite materials.


Book
Theory ofElasticity
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ISBN: 9783642113925 9783642114076 9783642423710 9783642113918 Year: 2010 Publisher: Berlin Heidelberg Springer Berlin Heidelberg Imprint Springer

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The Theory of Elasticity moves freely within a unified mathematical framework that provides the analytical tools for calculating stresses and deformations in a strained elastic body. All the elastic problems can be exactly analyzed employing the classical Mathematical analysis, with only the exception of the unilateral problems for which it is mandatory to use the Functional analysis. This book focuses on the practical application of the theoretical results. It gives to engineers, in a simple form, a clear indication of the necessary fundamental knowledge of the Theory of elasticity. The author develops the subjects in a classical way, but in light of the modern Mathematical theory of the elasticity and with more accented relief to the connections with the Thermodynamics. To give a clear justification of the fundamental equations of thermoelasticity, he applies a technique of analysis proper of the Fluid dynamics. However in the discussion of the unilateral problems, where the Functional analysis is compulsory, he has related in detail the mathematical aspects of the theoretical analysis.

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